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A simple procedure for constructing solutions of nonlinear heat-conduction problems by the kantorovich method

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Abstract

A simplified procedure based on expansion in the neighborhood of an approximate solution is discussed for solution of the quasilinear heat-conduction equation.

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Literature cited

  1. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Fizmatigiz, Leningrad (1962).

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  2. S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Nauka (1970).

  3. T. R. Goodman, Trans. ASME,80, No. 2 (1958).

  4. G. N. Gusenkov, Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1968).

  5. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).

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Authors
  1. G. N. Gusenkov
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  2. I. M. Chirkov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 32, No. 6, pp. 1105–1108, June, 1977.

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Gusenkov, G.N., Chirkov, I.M. A simple procedure for constructing solutions of nonlinear heat-conduction problems by the kantorovich method. Journal of Engineering Physics 32, 718–720 (1977). https://doi.org/10.1007/BF00862582

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  • DOI: https://doi.org/10.1007/BF00862582

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